{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7332a2d0-10c9-40f2-8bda-9a2ec630f13f",
   "metadata": {},
   "source": [
    "Chapter 21\n",
    "# 将无向图转换为关联矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ac43e145-b958-4c37-be88-32516fe9bdf0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8aa6b49e-bbb9-48e1-94ca-6034b04f6fe3",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.Graph()\n",
    "# 创建无向图的实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6d040088-8f36-4e83-9203-4536c4d8188a",
   "metadata": {},
   "outputs": [],
   "source": [
    "G.add_nodes_from(['a', 'b', 'c', 'd'])\n",
    "# 添加多个顶点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f37a2cdf-1e76-4a46-bf35-5492af13e615",
   "metadata": {},
   "outputs": [],
   "source": [
    "G.add_edges_from([('a','b'),('b','c'),\n",
    "                  ('b','d'),('c','d'),\n",
    "                  ('c','a')])\n",
    "# 增加一组边"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "20884d5d-7809-4182-a86a-6d05d993c647",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, \n",
    "                 node_size = 180)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "135de57a-48aa-4d48-9131-62deabb7f6d5",
   "metadata": {},
   "source": [
    "## 邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c2821e08-e748-41bd-9288-d73c02c145b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, 0],\n",
       "       [1, 0, 1, 1],\n",
       "       [1, 1, 0, 1],\n",
       "       [0, 1, 1, 0]], dtype=int32)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = nx.adjacency_matrix(G).todense()\n",
    "A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "da3cf9e8-237f-4469-997f-b60edaffa918",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(A, cmap = 'Blues', \n",
    "            annot = True, fmt = '.0f',\n",
    "            xticklabels = list(G.nodes), \n",
    "            yticklabels = list(G.nodes),\n",
    "            linecolor = 'k', square = True,\n",
    "            linewidths = 0.2)\n",
    "plt.savefig('邻接矩阵.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8721b33f-0fe1-41a7-9766-c3c96f8db5d4",
   "metadata": {},
   "source": [
    "## 关联矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8b82d3d4-2837-4061-a123-fcbabb80d651",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NodeView(('a', 'b', 'c', 'd'))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G.nodes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "54016b2b-62be-4fc5-bdc1-7a08fbbefe7a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "EdgeView([('a', 'b'), ('a', 'c'), ('b', 'c'), ('b', 'd'), ('c', 'd')])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G.edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0fe9a0e4-4aa6-460e-8e23-58f3f80bbde4",
   "metadata": {},
   "outputs": [],
   "source": [
    "C = nx.incidence_matrix(G).todense()\n",
    "# 关联矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "569e1916-99d9-45d9-add0-5c0c0d758c28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1., 0., 0., 0.],\n",
       "       [1., 0., 1., 1., 0.],\n",
       "       [0., 1., 1., 0., 1.],\n",
       "       [0., 0., 0., 1., 1.]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "187c677c-b74f-471c-920e-a8e940ea8759",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(C, cmap = 'Blues', \n",
    "            annot = True, fmt = '.0f',\n",
    "            yticklabels = list(G.nodes), \n",
    "            xticklabels = list(G.edges),\n",
    "            linecolor = 'k', square = True,\n",
    "            linewidths = 0.2)\n",
    "plt.savefig('关联矩阵.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4354bcd8-a624-4d52-a541-5cea0f87d48e",
   "metadata": {},
   "source": [
    "## 跆拳道俱乐部"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c1ccb545-67fa-4914-875c-f2c3992f1ada",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_karate = nx.karate_club_graph() \n",
    "# 空手道俱乐部图\n",
    "pos_karate = nx.spring_layout(G_karate,seed=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9b4ad604-8d37-4781-b4f9-029da267fc0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G_karate,\n",
    "                 pos = pos_karate) \n",
    "# plt.savefig('空手道俱乐部图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "cf06b4cd-1fc9-4455-b8bb-6bc1be9315a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "C_karate = nx.incidence_matrix(G_karate).todense()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e63b17ce-d2c9-4581-b095-9cf55398d58b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,6))\n",
    "sns.heatmap(C_karate, cmap = 'Blues', \n",
    "            annot = False,\n",
    "            yticklabels = [], \n",
    "            xticklabels = [],\n",
    "            cbar = False,\n",
    "            linecolor = 'k', square = True,\n",
    "            linewidths = 0.2)\n",
    "plt.savefig('关联矩阵，空手道俱乐部.svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
